To determine the organic material in a dried lake bed, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different. To determine the organic material in a dried lake ted, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different. Location1(%C) Location2(%C)1 10.40 10.102 10.20 10.903 10.30 10.204 10.40 10.705 10.20 10.40a-1. Far each location, calculate the standard deviation and report it.- location 1: - location 2: a-2. What is the calculated F value for comparing the standard deviation?b. Are the two standard deviations for the locations significantly different at the 95% confidence level?A. yes. B. No. c. What is the calculated t value used to compare the means of these two locations?d. Are the means for the two different locations significantly different at the 95% confidence level?A. yes. B. No.

F statistic = 11.3 ;

-1.02

Step-by-step explanation:

Location1(%C) Location2(%C)

1 10.40 10.10

2 10.20 10.90

3 10.30 10.20

4 10.40 10.70

5 10.20 10.40

F = larger sample variance / smaller sample variance

Using calculator :

Sample standard deviation (s)

s1² = 0.01

s2² = 0.113

F = s2² / s1²

F = 0.113 / 0.01

F = 11.3

Yes, the two standard deviations for the locations are significantly different at the 95% confidence level.

B.)

Tvalue

x1 = 10.3 ; x2 = 10.46

μ1 = 10.30 ; μ2 = 10.46

(10.30 - 10.46) / sqrt[(0.01/5) + (0.113/5)]

-0.16 / 0.1568438

-1.02

right

step-by-step explanation:

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: